262
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

H approach to monotonically convergent ILC for uncertain time-varying delay systems

, &
Pages 209-217 | Received 05 Oct 2012, Accepted 02 Feb 2013, Published online: 12 Mar 2013

References

  • Ahn, H.-S., Chen, Y., and Moore, K.L. (2007), ‘Iterative Learning Control: Brief Survey and Categorization’, IEEE Transactions on Systems, Man, and Cybernetics-Part C: Applications and Reviews, 37(6), 1099–1121.
  • Bristow, D.A., Tharayil, M., and Alleyne, A.G. (2006), ‘A Survey of Iterative Learning Control: A Learning-Based Method for High-Performance Tracking Control’, IEEE Control Systems Magazine, 26(3), 96–114.
  • Butcher, M., Karimi, A., and Longchamp, R. (2008), ‘A Statistical Analysis of Certain Iterative Learning Control Algorithms’, International Journal of Control, 81(1), 156–166.
  • Chen, W., and Zhang, Z. (2011), ‘Nonlinear Adaptive Learning Control for Unknown Time-Varying Parameters and Unknown Time-Varying Delays’, Asian Journal of Control, 13(6), 903–913.
  • Choi, C.-H., and Jeong, G.-M. (2001), ‘Perfect Tracking for Maximum-Phase Nonlinear Systems by Iterative Learning Control’, International Journal of Systems Science, 32(9), 1177–1183.
  • Choi, J.Y., and Park, H.J. (2000), ‘Use of Neural Networks in Iterative Learning Control Systems’, International Journal of Systems Science, 31(10), 1227–1239.
  • Gunnarsson, S., and Norrlof, M. (2006), ‘On the Disturbance Properties of High Order Iterative Learning Control Algorithms’, Autumotica, 42(11), 2031–2034.
  • Hladowski, L., Galkowski, K., Cai, Z., Rogers, E., Freeman, C.T., and Lewin, P.L. (2010), ‘Experimentally Supported 2D Systems Based Iterative Learning Control Law Design for Error Convergence and Performance’, Control Engineering Practice, 18(4), 339–348.
  • Hu, Q., Xu, J.-X., and Lee, T.H. (2001), ‘Iterative Learning Control Design for Smith Predictor’, Systems and Control Letters, 44(3), 201–210.
  • Kim, T.-H., and Sugie, T. (2007), ‘An Iterative Learning Control Based Identification for a Class of MIMO Continuous-time Systems in the Presence of Fixed Input Disturbances and Measurement Noises’, International Journal of Systems Science, 38(9), 737–748.
  • Li, X.-D., Chow, T.W.S., and Ho, J.K.L. (2005), ‘2-D System Theory Based Iterative Learning Control for Linear Continuous Systems With Time Delays’, IEEE Transactions on Circuits and Systems-I: Regular Papers, 52(7), 1421–1430.
  • Li, X.-D., Chow, T.W.S., and Ho, J.K.L. (2008), ‘Iterative Learning Control for a Class of Nonlinear Discrete-Time Systems With Multiple Input Delays’, International Journal of Systems Science, 39(4), 361–369.
  • Marino, R., Tomei, P., and Verrelli, C.M. (2012), ‘Learning Control for Nonlinear Systems in Output Feedback Form’, Systems and Control Letters, 61(12), 1242–1247.
  • Meng, D., Jia, Y., Du, J., and Yu, F. (2009), ‘Robust Design of a Class of Time-Delay Iterative Learning Control Systems With Initial Shifts’, IEEE Transactions on Circuits and Systems-I: Regular Papers, 56(8), 1744–1757.
  • Meng, D., Jia, Y., Du, J., and Yu, F. (2010a), ‘Delay-Dependent Conditions for Monotonic Convergence of Uncertain ILC Systems: An LMI Approach’, in Proceedings of the 49th IEEE Conference on Decision and Control, Dec. 15–17, Atlanta, GA, USA, pp. 6955–6960.
  • Meng, D., Jia, Y., Du, J., and Yu, F. (2010b), ‘Initial Shift Problem for Robust Iterative Learning Control Systems With Polytopic-Type Uncertainty’, International Journal of Systems Science, 41(7), 825–838.
  • Meng, D., Jia, Y., Du, J., and Yu, F. (2010c), ‘Robust Iterative Learning Control Design for Uncertain Time-Delay Systems Based on a Performance Index’, IET Control Theory and Applications, 4(5), 759–772.
  • Meng, D., Jia, Y., Du, J., and Yu, F. (2012), ‘Monotonically Convergent ILC Systems Designed Using Bounded Real Lemma’, International Journal of Systems Science, 43(11), 2062–2071.
  • Moore, K.L., Ahn, H.-S., and Chen, Y. (2008), ‘Iteration Domain H∞-Optimal Iterative Learning Controller Design’, International Journal of Robust and Nonlinear Control, 18(10), 1001–1017.
  • Nguyen, D.H., and Banjerdpongchai, D. (2011), ‘A Convex Optimization Approach to Robust Iterative Learning Control for Linear Systems with Time-Varying Parametric Uncertainties’, Automatica, 47(9), 2039–2043.
  • Ouyang, P.R., Zhang, W.J., and Gupta, M.M. (2006), ‘An Adaptive Switching Learning Control Method for Trajectory Tracking of Robot Manipulators’, Mechatronics, 16(1), 51–61.
  • Owens, D.H., and Rogers, E. (2008), ‘Robust Iterative Learning Control: Theory and Experimental Verification’, International Journal of Robust and Nonlinear Control, 18(10), 999–1000.
  • Ruan, X., and Bien, Z.Z. (2012), ‘Pulse Compensation for PD-type Iterative Learning Control Against Initial State Shift’, International Journal of Systems Science, 43(11), 2172–2184.
  • Saab, S.S. (2001), ‘A Discrete-Time Stochastic Learning Control Algorithm’, IEEE Transactions on Automatic Control, 46(6), 877–887.
  • Shen, D., Mu, Y., and Xiong, G. (2011), ‘Iterative Learning Control for Non-Linear Systems With Deadzone Input and Time Delay in Presence of Measurement Noise’, IET Control Theory and Applications, 5(12), 1418–1425.
  • Sun, M., and Wang, D. (2001), ‘Initial Condition Issues on Iterative Learning Control for Non-Linear Systems With Time Delay’, International Journal of Systems Science, 32(11), 1365–1375.
  • Tayebi, A. (2007), ‘Analysis of Two Particular Iterative Learning Control Schemes in Frequency and Time Domains’, Automatica, 43(9), 1565–1572.
  • Wu, M., He, Y., She, J.-H., and Liu, G.-P. (2004), ‘Delay-Dependent Criteria for Robust Stability of Time-Varying Delay Systems’, Automatica, 40(8), 1435–1439.
  • Xie, L. (1996), ‘Output Feedback H∞ Control of Systems With Parameter Uncertainty’, International Journal of Control, 63(4), 741–750.
  • Xu, J.-X. (2011), ‘A Survey on Iterative Learning Control for Nonlinear Systems’, International Journal of Control, 84(7), 1275–1294.
  • Yang, Z., and Chan, C.W. (2012), ‘Conditional Learning Control for Alignment Initial Condition’, International Journal of Systems Science, 43(3), 399–407.
  • Yi, Y., Sun, C., and Guo, L. (in press), ‘Probabilistic Tracking Control for Non-Gaussian Stochastic Process Using Novel Iterative Learning Algorithms’, International Journal of Systems Science.
  • Zhang, B., Wang, D., and Ye, Y. (2010), ‘On Learning Transient, Auto-Tunings of Learnable Bandwidth and Lead Step in Iterative Learning Control’, International Journal of Systems Science, 41(4), 353–363.
  • Zhang, C.-L., and Li, J.-M. (2011), ‘Adaptive Iterative Learning Control for Nonlinear Time-Delay Systems With Periodic Disturbances Using FSE-neural Network’, International Journal of Automation and Computing, 8(4), 403–410.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.